2.3x^2-4.5=6.8

Solution for 2.3x^2-4.5=6.8 equation:

2.3x^2-4.5=6.8

We move all terms to the left:

2.3x^2-4.5-(6.8)=0

We add all the numbers together, and all the variables

2.3x^2-11.3=0

a = 2.3; b = 0; c = -11.3;
Δ = b2-4ac
Δ = 02-4·2.3·(-11.3)
Δ = 103.96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{103.96}}{2*2.3}=\frac{0-\sqrt{103.96}}{4.6}
=-\frac{\sqrt{}}{4.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{103.96}}{2*2.3}=\frac{0+\sqrt{103.96}}{4.6}
=\frac{\sqrt{}}{4.6}
$